Risa and Liam received $370 in total from their father. After Risa spent ²₃ of her money and Liam deposited ²₇ of his money into his savings account, Risa had twice as much money as Liam.

1. Find the amount of money Risa received from her father.
2. If Liam' savings increased by 20% after the deposit, how much was Liam' savings in the bank in the end?

	Risa	Liam	Total
Before	3x10 = 30 u	7 u	$370
Change	- 2x10 = - 20 u	- 2 u
After	1x10 = 10 u	5 u
Comparing Risa and Liam in the end	2x5	1x5

Fraction of Risa's money left
= 1 - ²₃
= ¹₃

Fraction of Liam's money left
= 1 - ²₇
= ⁵₇

The amount that Risa had in the end is repeated.  Make the amount that Risa had in the end the same. LM of 2 and 1 is 10.

Total amount given to Risa and Liam
= 30 u + 7 u
= 37 u

37 u = 370

1 u = 370 ÷ 37 = 10

Amount that Risa received from her father
= 30 u
= 30 x 10
= $300

(b)
Amount that Liam deposited
= 2 u
= 2 x 10
= $20

Savings that Liam had at first = 100%

Savings that Liam had in the end
= 100% + 20%
= 120%

20% of the savings = 20
1% of the savings = ²⁰₂₀
120% of the savings = 120 x ²⁰₂₀ = 120

Liam's savings in the end = $120

Answer(s): (a) $300; (b) $120